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The personal Substack of Arkadiusz Jadczyk, PhD.

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Latest Issues

Complex Ancestors: How Imaginary Numbers Repair Broken Trees in Mathematics and Physics

Mathematics likes to pretend it is inevitable. Once the definitions are written down and the theorems proved, everything appears as if it could not have been otherwise. But this is, at least in part, an illusion. Beneath the formal surface...

8 days ago
32
6

How I Started a Fight Between Two AIs and French Wikipedia

I was all set to write about complexification.

The plan was simple enough: explain how we turn real vector spaces into complex ones, grumble a bit about quantum mechanics living in a complex Hilbert space while the universe insists on bein...

12 days ago
22

When “Random” Radioactivity Misbehaves

There are unexplained phenomena in nature. Let me mention one example that I find especially relevant to my own work: radioactivity. Radioactive decay is usually regarded as a genuinely random quantum process. Yet there are experiments sugg...

a month ago
24
11

When a Maine Coon Meets the Infinite

Recently I got strongly attracted to infinity. I am trying to explain infinities in my new Wordpress post “Counting infinities”, where I can use mathematical symbols like in an actual papers. Substack can’t really do it. It’s baby version o...

a month ago
28
11

Later is not necessarily better

It is like “More is more, but not necessarily better”. Today I asked Perplexity AI

:

AJ: The book "Espaces vectoriels topologiques" was published by Hermann and then, in 1981, by Masson publishers. Are there any essential differences...

a month ago
21

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  • Arkadiusz Jadczyk

    Mathematical/theoretical physicist, PhD. http://arkadiusz-jadczyk.org/

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